We know that 1/13 =0.0769230769230769230769230769230769... When 1/130 is written as a repeating decimal, what is its 130th digit to the right of the decimal point?
1/130 = (1/13) (1/10) = .0076923076923
We have a repeating pattern that has a period of 6
So
1st digit + ( 21 * 6) digits + 3 digits = 130
The 130th digit is the 3rd one in the pattern = 6